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Anomalous Coupling Between Topological Defects and Curvature

Anomalous Coupling Between Topological Defects and Curvature

We investigate a counterintuitive geometric interaction between defects and curvature in thin layers of superfluids, superconductors, and liquid crystals deposited on curved surfaces. Each defect feels a geometric potential whose functional form is determined only by the shape of the surface, but whose sign and strength depend on the transformation …